delta {powdR}

Calculate the Delta value for a fitted pattern

Description

delta computes the absolute difference between a measured and fitted pattern. See equation for Delta in section 2.1 of Butler and Hillier (2021).

Usage

delta(measured, fitted, weighting)

Arguments

measured

a vector of count intensities for a measured pattern

fitted

a vector of count intensities for a fitted pattern

weighting

an optional weighting vector of the same length as those specified in measured and fitted, which specifies areas of the pattern to either emphasise (values > 1) or omit (values = 0) from the calculation. Use with caution. Default is simply a weighting vector where all values are 1, which hence has no effect on the computed value.

Value

a single numeric value

References

Butler, B.M., Hillier, S., 2021. powdR: An R package for quantitative mineralogy using full pattern summation of X-ray powder diffraction data. Computers and Geosciences. 147, 104662. doi:10.1016/j.cageo.2020.104662

Examples

# Load soils xrd data
data(soils)

#Load minerals library
data(minerals)

## Not run: 
#Produce a fit
fps_sand <-  fps(lib = minerals,
                 smpl = soils$sandstone,
                 refs = minerals$phases$phase_id,
                 std = "QUA.1",
                 align = 0.2)

delta(measured = fps_sand$measured,
      fitted = fps_sand$fitted)


## End(Not run)